PHYS 1210: Rotational Motion, Angular Momentum (Chapters 10, 11)

Rotational motion is defined as:

Motion around a fixed axis

Angular velocity is defined as:

Rate of change of angular displacement

The SI unit of angular velocity is:

rad/s

Angular acceleration is:

Rate of change of angular velocity

The relationship between linear velocity and angular velocity is:

v = rw

Tangential acceleration is given by:

a = rα

Centripetal acceleration acts:

Toward the center

Moment of inertia depends on:

Mass distribution about axis

The unit of moment of inertia is:

kg * m²

The relation between torque and angular acceleration is:

*T for the Tau sign

T = Iα

Rotational kinetic energy is given by:

1/2Iw²

Angular momentum is defined as:

L = Iw

Angular momentum is conserved when:

Net torque is zero

When a skater pulls in her arms, her angular velocity:

Increases

For a solid disk, the moment of inertia is:

1/2MR²

A wheel of radius 0.5 m rotates with angular velocity 10 rad/s. What is the linear velocity at the rim?

5 m/s

A disc has a moment of inertia 2 kg * m² and an acceleration of 3 rad/s². What is the torque applied?

6 N * m

A solid disk (mass = 4 kg, radius = 0.5 m). What is its moment of inertia?

0.5 kg * m²

A rotating object has I = 3 kg*m² and w = 4 rad/s. What is its angular momentum?

12 kg * m²/s

A rotating body has I = 2 kg * m² and w = 5 rad/s. What is its rotational kinetic energy?

25 J